Theorems · Definition · ring theory
NonUnitalRingHomClass.toNonUnitalRingHom
{F : Type u_1} →
{α : Type u_2} →
{β : Type u_3} →
[inst : NonUnitalNonAssocSemiring α] →
[inst_1 : NonUnitalNonAssocSemiring β] → [inst_2 : FunLike F α β] → [NonUnitalRingHomClass F α β] → F → α →ₙ+* βTurn an element of a type F satisfying NonUnitalRingHomClass F α β into an actual
NonUnitalRingHom. This is declared as the default coercion from F to α →ₙ+* β.
- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomproof · cited by 3,230
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- MulHomproof · cited by 299
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- NonUnitalRingHomstatement · cited by 157
- NonUnitalRingHomClassstatement and proof · cited by 82
- MulHomClass.toMulHomproof · cited by 31
Cited by36
Results whose statement or proof uses this declaration.
- NonUnitalSubalgebra.mapproof · cited by 23
- NonUnitalRingHom.srangeproof · cited by 17
- NonUnitalAlgHom.rangeproof · cited by 12
- NonUnitalAlgHomClass.toNonUnitalAlgHomproof · cited by 9
- NonUnitalSubalgebra.comapproof · cited by 5
- NonUnitalAlgHom.restrictScalarsproof · cited by 4
- NonUnitalAlgHom.codRestrictproof · cited by 3
- DirectLimit.NonUnitalAlgebra.liftproof · cited by 3
- range_cfcₙ_eq_range_cfcₙHomproof · cited by 2
- NonUnitalAlgHomClass.toNonUnitalAlgSemiHomproof · cited by 1
- NonUnitalSubsemiring.map_equiv_eq_comap_symmstatement and proof · cited by 1
- NonUnitalStarRingHomClass.toNonUnitalStarRingHomproof · cited by 1